Pith Number

pith:ZMMGFHXI

pith:2023:ZMMGFHXISBGHOLGBO4CMMALYUE

not attested not anchored not stored refs pending

P\'olya urns on hypergraphs

Matheus Barros, Pedro Alves, Yuri Lima

arxiv:2310.00159 v2 · 2023-09-29 · math.DS · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMMGFHXISBGHOLGBO4CMMALYUE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:07:00.538026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb18629ee8904c772cc17704c60178a135ba87b7a2c42f56b8ebf98e986bbadc

Aliases

arxiv: 2310.00159 · arxiv_version: 2310.00159v2 · doi: 10.48550/arxiv.2310.00159 · pith_short_12: ZMMGFHXISBGH · pith_short_16: ZMMGFHXISBGHOLGB · pith_short_8: ZMMGFHXI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZMMGFHXISBGHOLGBO4CMMALYUE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cb18629ee8904c772cc17704c60178a135ba87b7a2c42f56b8ebf98e986bbadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d6468236a95b356f8362d71c56e6a75f321b5607a01c8ee365a73ccdf6c599",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-09-29T21:49:39Z",
    "title_canon_sha256": "733d6be09406770a7cc446caf029718161e04c4ef7ae1e1706696c7ffc275f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.00159",
    "kind": "arxiv",
    "version": 2
  }
}